Viscous-inviscid interaction in transonic flow

Analysis of high Reynolds number inviscid/viscid interactions in cascades

“…Above 54 deg the solution would not converge due to a numerical instability. This is consistent with the known stability properties of the semiinverse IVI iteration procedure when applied to flows with large-scale separations [31].…”

Model for High-Speed Interaction Heating.

“…This interaction process is most conveniently treated by the so-called "semi-inverse" technique described by Wigton and Holt. 4 The purpose of interaction calculations is to identify a consistent solution for both inviscid and viscous flows. Coupling algorithms perform this identification process.…”

“…Both of these investigators have employed their techniques with success in treating transonic interaction problems, however both coupling formulas are at variance with the new study. 4 It was shown that the LeBalleur algorithm might fail to converge for attached boundary-layer flows and that 4 the Carter algorithm would be expected t. diverge for separated supersonic flows. Accordingly, car coupling algorithms are based upon the sound, theoreticaily based study 4 which verified the above conclusions by convergence analysis and calculation.…”

Viscid/inviscid interaction analysis of subsonic turbulent trailing-edge flows

“…18, and the stability analysis of Ref. 17, the convergence rate was found to decrease as the displacement thickness increased, and severe underrelaxation was necessary to predict flows with large separated regions. Based upon these observations, and the demonstrated improvement in convergence rates possible with the quasi-simultaneous solution procedure, the latter has been adopted for the present investigation of turbulent trailing-edge flows.…”

“…In Eq. (17) 8 is defined in terms of the inviscid properties at the edge of the viscous layer, while in Eq. (34) it depends also on the details of the flow within the viscous layer.…”